# Calculus question…

1.   Suppose we own a population that increases
according to the cemula P(t) = P0
ekt.  Our goal
is to rise quenched the cethcoming table:

Point

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t

P(t)

A

0

B

10

20

C

30

50

D

40

E

2000

(i)
Use
points B and C to transcribe brace equations.
Then representation them to explain ce P0 and k.  Finally, transcribe the
population equation.
(ii)
Use
(i) to rise in the peace of the chart.
You may rotund each estimate to the neapeace tenth.
(iii)
Now
representation your cemula to detail the doubling season of this population.
(iv)
Explain
how, withquenched using an equation, you can now rate the t estimates ce which P(t) equals
1000. And how abquenched 250?  Do this by
writing a apparent petty dissertation, with complete English sentences.
(v)
Now
on graph monograph, pull a apparent graph of this exponential employment. Be permanent to
delineate your axes, and to delineate, with their coordinate, each of points A through
E.

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